| 书目名称 | On Some Aspects of the Theory of Anosov Systems |
| 副标题 | With a Survey by Ric |
| 编辑 | Grigoriy A. Margulis |
| 视频video | |
| 概述 | The 1970 Moscow thesis of G. Margulis is published for the first time in English language.Complemented by a survey by R. Sharp, discussing more recent developments in the theory of periodic orbits and |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | .In this book the seminal 1970 Moscow thesis of Grigoriy A. Margulis is published for the first time. Entitled "On Some Aspects of the Theory of Anosov Systems", it uses ergodic theoretic techniques to study the distribution of periodic orbits of Anosov flows. The thesis introduces the "Margulis measure" and uses it to obtain a precise asymptotic formula for counting periodic orbits. This has an immediate application to counting closed geodesics on negatively curved manifolds. The thesis also contains asymptotic formulas for the number of lattice points on universal coverings of compact manifolds of negative curvature. ..The thesis is complemented by a survey by Richard Sharp, discussing more recent developments in the theory of periodic orbits for hyperbolic flows, including the results obtained in the light of Dolgopyat‘s breakthroughs on bounding transfer operators and rates of mixing. . |
| 出版日期 | Book 2004 |
| 关键词 | Anosov Flows; Hyperbolic Flows; Lebesgue measures; Periodic Orbits; Riemannian Geometry; dynamical system |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-09070-1 |
| isbn_softcover | 978-3-642-07264-2 |
| isbn_ebook | 978-3-662-09070-1Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer-Verlag Berlin Heidelberg 2004 |
发表于 2025-3-21 19:14:31
